2. For F(x, y, z) = (6xsin y+10x=' )i + (3x² cos y-4ye* −2y²z³)j + (-2y³e² +15x²2²)k, find a function f such that F =Vf and use fto evaluate [F-dr along the curve C:r(t)=(√1-2)i+(1²-1)+(²-31-4)k and 0≤1≤4.
2. For F(x, y, z) = (6xsin y+10x=' )i + (3x² cos y-4ye* −2y²z³)j + (-2y³e² +15x²2²)k, find a function f such that F =Vf and use fto evaluate [F-dr along the curve C:r(t)=(√1-2)i+(1²-1)+(²-31-4)k and 0≤1≤4.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![2. For F(x, y, z)=(6xsin y+10x=³)i + (3x² cosy-4ye -2y²ze )i+(-2y³e +15x²2²)k, find
a function f such that F=Vf and use fto evaluate fF-dr along the curve
C:r(1)-(√7-2)i + (²-1) j+(1²-31-4)k and 0≤ ≤4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07dc3289-c262-41f1-9fc5-a8d18500de1b%2F1f0286fe-13df-40e9-897e-29f103e5e7e0%2Fcq793oq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. For F(x, y, z)=(6xsin y+10x=³)i + (3x² cosy-4ye -2y²ze )i+(-2y³e +15x²2²)k, find
a function f such that F=Vf and use fto evaluate fF-dr along the curve
C:r(1)-(√7-2)i + (²-1) j+(1²-31-4)k and 0≤ ≤4.
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